PHYS4330 Theoretical Mechanics HW #1 Due 6 Sept 2011

... where U0 and a are positive constants. It has a total mechanical energy −U0 < E < 0. Sketch the potential energy as a function of x and show (analytically) that x = 0 is a point of stable equilibrium. Find the “classical turning points” xm , that is the maximum and minimum values of x, in terms of E ...

... where U0 and a are positive constants. It has a total mechanical energy −U0 < E < 0. Sketch the potential energy as a function of x and show (analytically) that x = 0 is a point of stable equilibrium. Find the “classical turning points” xm , that is the maximum and minimum values of x, in terms of E ...

Physics 111 - Lecture 6 Dynamics, Newton’s Laws (Summary)

... Dynamics, Newton’s Laws (Summary) • Dynamics deals with why objects move as they do • The Concept of FORCE • Forces are Vectors • Contact Forces: push, pull • Forces at a distance: gravity, electromagetic • The NET FORCE on a body is the vector sum of all forces acting on the body ...

... Dynamics, Newton’s Laws (Summary) • Dynamics deals with why objects move as they do • The Concept of FORCE • Forces are Vectors • Contact Forces: push, pull • Forces at a distance: gravity, electromagetic • The NET FORCE on a body is the vector sum of all forces acting on the body ...

CLASSICAL MECHANICS II - Makerere University Courses

... Wave packets; phase and group velocities; de Broglie waves; energy density and intensity. Special Relativity Lorentz transformation matrix; space and time four vectors; force and energy in relativistic mechanics The Lagrangian and Hamiltonian Generalized coordinates; Lagrangian formulation and appli ...

... Wave packets; phase and group velocities; de Broglie waves; energy density and intensity. Special Relativity Lorentz transformation matrix; space and time four vectors; force and energy in relativistic mechanics The Lagrangian and Hamiltonian Generalized coordinates; Lagrangian formulation and appli ...

• Introduction

... If body A exerts a force F AB (action) on body B, then body B exerts a force FBA (reaction) on A of the same intensity but in the opposite direction. In other words, for every action there is an equal and opposite reaction: FAB = - F BA The forces of action and reaction act on different bodies. Newt ...

... If body A exerts a force F AB (action) on body B, then body B exerts a force FBA (reaction) on A of the same intensity but in the opposite direction. In other words, for every action there is an equal and opposite reaction: FAB = - F BA The forces of action and reaction act on different bodies. Newt ...

On the Shoulders of Giants”

... Since x, y, and z are orthogonal and linearly independent, I can write a Lagrange’s EOM for each. In order to conserve space, I call x, y, and z to be dimensions 1, 2, and 3. ...

... Since x, y, and z are orthogonal and linearly independent, I can write a Lagrange’s EOM for each. In order to conserve space, I call x, y, and z to be dimensions 1, 2, and 3. ...

Newton`s Laws Vocabulary

... change in the motion of an object Acceleration – change of velocity or speed Velocity – the rate of speed with which something happens Speed – rate of motion Friction – the resistance of movement on surfaces that touch. Mass – the amount of matter in an object ...

... change in the motion of an object Acceleration – change of velocity or speed Velocity – the rate of speed with which something happens Speed – rate of motion Friction – the resistance of movement on surfaces that touch. Mass – the amount of matter in an object ...

03

... 11. An electron moving with an intital velocity enters an electric field E(t)ˆ1 with a velocity V0 ˆ1 . The acceleration is given by ~a = eE(t)ˆ1 /m, where m is the mass of the electron. The magnitude of the electric field is given by E(t) = 0 for t < 0 ; E(t) = E(t) = ...

... 11. An electron moving with an intital velocity enters an electric field E(t)ˆ1 with a velocity V0 ˆ1 . The acceleration is given by ~a = eE(t)ˆ1 /m, where m is the mass of the electron. The magnitude of the electric field is given by E(t) = 0 for t < 0 ; E(t) = E(t) = ...